72006735 has 16 divisors (see below), whose sum is σ = 115405920. Its totient is φ = 38338560.

The previous prime is 72006731. The next prime is 72006743. The reversal of 72006735 is 53760027.

It is not a de Polignac number, because 72006735 - 2² = 72006731 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72006731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5871 + ... + 13359.

It is an arithmetic number, because the mean of its divisors is an integer number (7212870).

Almost surely, 2^72006735 is an apocalyptic number.

72006735 is a deficient number, since it is larger than the sum of its proper divisors (43399185).

72006735 is a wasteful number, since it uses less digits than its factorization.

72006735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8138.

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 72006735 is about 8485.6782286391. The cubic root of 72006735 is about 416.0297358398.

The spelling of 72006735 in words is "seventy-two million, six thousand, seven hundred thirty-five".